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Question

State which of the following statements are true (T) or which are false (F):

(i) If two lines in the same plane do not interest, then they much be parallel.
(ii) Distance between two parallel lines is not same every where.
(iii) If m ⊥ i, n  i and m ≠ n, then m ∥ n.
(iv) Two non-intersection coplanar rays are parallel.
(v) If ray AB line , then line segment AB ∥ m.
(vi) If line AB line , then line segment AB ∥ m.
(vii) No two parallel segments intersect.
(viii) Every pair of lines is a pair of coplanar lines.
(ix) Two lines perpendicular to the same line are parallel.
(x) A line perpendicular to one of two parallel lines is perpendicular to the other.


Solution

(i) T ( It is true for only two co-planar lines)
(ii) F
(iii) T
(iv) F ( Two coplanar rays may neither be parallel nor intersecting)
(v) T ( Line segment is part of a line or a ray)
(vi) T ( Line segment is part of a line or a ray)
(vii) T
(viii) F
(ix) T
(x) T

Mathematics
RD Sharma (2013)
Standard VI

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